Chaos-based cryptography: A brief overview

IEEE Circuits and Systems Magazine

Volumn 1, Issue 3, 2001, Pages 6-21

  Kocarev, Ljupčo ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4444346865     PISSN: 1531636X     EISSN: None     Source Type: Journal    
DOI: 10.1109/7384.963463     Document Type: Article

References (25)

1. L.M. Pecora and T.L. Carroll, "Synchronization in Chaotic Systems", Physical Review Letters, vol. 64, no. 8, pp. 821824, 1990.
2. G. Jakimoski and L. Kocarev, "Chaos and Cryptography: Block Encryption Ciphers Based on Chaotic Maps", to appear in IEEE Transactions on Circuits and Systems-Part /; L. Kocarev and G. Jakimoski, "Chaos and Cryptography: From Chaotic Maps to Encryption Algorithms" submitted for publication; N. Masuda and K. Aihara, "Cryptosystems with Discretized Chaotic Maps" submitted for publication.
3. B. Schneier, Applied Cryptography: Protocols, Algorithms, and Source Code in C, 2nd Edition. New York: John Wiley & Sons, 1996.
4. B. Preneel, V. Rijmen, and A. Bosselears, "Recent Developments in the Design of Conventional Cryptographic Algorithms", Lecture Notes in Computer Science, vol. 1528, pp. 105-130, SpringerVerlag, Berlin, 1998.
5. M.S. Baptista, "Cryptography with Chaos", Physics Letters A, vol. 240, pp. 50-54, 1998.
6. G. Jakimoski and L. Kocarev, "Analysis of Some Recently Proposed Chaos-Based Encryption Algorithms", submitted for publication.
7. C.E. Shannon, "Communication Theory of Secrecy Systems", The Bell System Technicaljournal, vol. 28, no. 4, pp. 656715, October 1949.
8. T. Kruger and S. Troubetzkoy, "Complexity, Randomness, Discretization: Some Remarks on a Program of J. Ford", Physica D, vol. 105, pp. 97-104, 1997.
9. B.V. Chirikov and F. Vivaldi, "An Algorithmic View of Pseudochaos", Physica, D 129, pp. 223-235, 1999.
10. [ 10] I.P. Cornfeld, S.V. Fomin, and Ya.G. Sinai, Ergodic Theory. Berlin: Springer, 1982.
11. J. Palis and F. Takens, Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations. Cambridge: University Press, 1993.
12. S. Banerjee, J.A. Yorke, and C. Grebogi, "Robust Chaos", Physical Review Letters, vol. 80, no. 14, pp. 3049-3052, 1998.
13. [ 13] D. Ruelle, Chaotic Evolution and Strange Attractors. Cambridge: University Press, 1989.
14. C.E. Shannon, "A Mathematical Theory of Communication", The Bell System Technical journal, vol. 27, no. 3, pp. 379423, July 1948.
15. A.A. Brudno, "The Complexity of the Trajectories of a Dynamical System", Russian Mathematical Surveys, vol. 33, no. l, pp. 197-198, 1978.
16. J. Ford, "What Is Chaos, That We Should be Mindful of It?", in The New Physics, P. Davies, ed., Cambridge University Press, 1992.
17. J. Ford, "How Random Is a Coin Toss?", Physics Today, vol. 4, pp. 40-47, April 1983.
18. W. Diffie and M.E. Hellman, "New Directions in Cryptography", IEEE Transactions on Information Theory, vol. 22, pp. 644-154, 1976.
19. A. Yao, "Theory and Applications of Trapdoor Functions", IEEE 23rd Symposium on Foundations of Computer Science, pp. 80-91, 1982.
20. J.C. Largaris, "Pseudo-Random Numbers", in Probability and Algorithms, National Academy Press, pp. 65-85, 1992.
21. L. Blum, M. Blum, and M. Shub, "A Simple Unpredictable Pseudo-Random Number Generator", SI AM Journal on Computing, vol. 15, no. 2, pp. 364-383, 1986.
22. X. Lai and J.L. Massey, "A Proposal for a New Block Encryption Standard", Advances in Cryptology-EUROCRYPT'90, pp. 389-404, Springer-Verlag, Berlin, 1991.
23. X. Lai, J.L. Massey, and S. Murphy, "Markov Ciphers and Differential Cryptanalysis", Advances in Cryptology-EUROCRYPT'91, pp. 17-38, SpringerVerlag, Berlin, 1991.
24. L. Blum, F. Cucker, M. Shub, and S. Smale, Complexity and Real Computation. New York: Springer-Verlag, 1998.
25. J.F. Traub, "A Continuous Model of Computation", Physics Today, pp. 39-43, May 1999.